First and second fundamental theorems of invariant theory information
In algebra, the first and second fundamental theorems of invariant theory concern the generators and the relations of the ring of invariants in the ring of polynomial functions for classical groups (roughly the first concerns the generators and the second the relations).[1] The theorems are among the most important results of invariant theory.
Classically the theorems are proved over the complex numbers. But characteristic-free invariant theory extends the theorems to a field of arbitrary characteristic.[2]
^Procesi 2007, Ch. 9, § 1.4.
^Procesi 2007, Ch. 13 develops this theory.
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